{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.cluster import k_means\n",
    "from sklearn.metrics import silhouette_score    # silhouette 轮廓\n",
    "from matplotlib import pyplot as plt\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [],
   "source": [
    "data = pd.read_csv(\"./data/three_class_data.csv\")"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "data": {
      "text/plain": "          x         y class\n0  0.422221  0.545028    C1\n1  0.369920  0.581177    C1\n2  0.363025  0.581593    C1\n3  0.333464  0.552323    C1\n4  0.409722  0.550071    C1",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>x</th>\n      <th>y</th>\n      <th>class</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>0.422221</td>\n      <td>0.545028</td>\n      <td>C1</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>0.369920</td>\n      <td>0.581177</td>\n      <td>C1</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>0.363025</td>\n      <td>0.581593</td>\n      <td>C1</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>0.333464</td>\n      <td>0.552323</td>\n      <td>C1</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>0.409722</td>\n      <td>0.550071</td>\n      <td>C1</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "outputs": [
    {
     "data": {
      "text/plain": "            x         y\n0    0.422221  0.545028\n1    0.369920  0.581177\n2    0.363025  0.581593\n3    0.333464  0.552323\n4    0.409722  0.550071\n..        ...       ...\n727  0.606909  0.547377\n728  0.627545  0.536513\n729  0.586346  0.546923\n730  0.620430  0.555296\n731  0.631089  0.549247\n\n[732 rows x 2 columns]",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>x</th>\n      <th>y</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>0.422221</td>\n      <td>0.545028</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>0.369920</td>\n      <td>0.581177</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>0.363025</td>\n      <td>0.581593</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>0.333464</td>\n      <td>0.552323</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>0.409722</td>\n      <td>0.550071</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>727</th>\n      <td>0.606909</td>\n      <td>0.547377</td>\n    </tr>\n    <tr>\n      <th>728</th>\n      <td>0.627545</td>\n      <td>0.536513</td>\n    </tr>\n    <tr>\n      <th>729</th>\n      <td>0.586346</td>\n      <td>0.546923</td>\n    </tr>\n    <tr>\n      <th>730</th>\n      <td>0.620430</td>\n      <td>0.555296</td>\n    </tr>\n    <tr>\n      <th>731</th>\n      <td>0.631089</td>\n      <td>0.549247</td>\n    </tr>\n  </tbody>\n</table>\n<p>732 rows × 2 columns</p>\n</div>"
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = data[['x', 'y']]\n",
    "x"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1080x720 with 2 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "n_clusters : int\n",
    "        The number of clusters to form as well as the number of\n",
    "        centroids to generate.\n",
    "        要形成的簇数以及要生成的质心数。\n",
    "\"\"\"\n",
    "score = []\n",
    "for i in range(10):\n",
    "    # 制作学习曲线，观察什么时候的簇最好\n",
    "    model =k_means(x,n_clusters=i+2)    # model[0]是n_clusters每类的中心点；model[1]是每个样本数据所属类别，取值范围从0到n_clusters - 1\n",
    "    score.append(silhouette_score(x,model[1]))\n",
    "\n",
    "plt.figure(figsize=(15, 10))\n",
    "plt.subplot(1,2,1)\n",
    "plt.scatter(data['x'], data['y'])\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(range(2,12,1),score)\n",
    "plt.xticks(range(2, 12))\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 720x432 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = pd.read_csv(\"./data/three_class_data.csv\", header=0)\n",
    "data.head()\n",
    "x = data[[\"x\", \"y\"]]\n",
    "model = k_means(x, n_clusters=3)\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(data['x'], data['y'], c=model[1])    # model[1] 聚合后的类别\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 720x432 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 训练数据，分为三个簇\n",
    "x = data[[\"x\", \"y\"]]\n",
    "model = KMeans(n_clusters=3)    # KMeans\n",
    "model.fit(x)\n",
    "\n",
    "\"\"\"\n",
    "def meshgrid(*xi, copy=True, sparse=False, indexing='xy'):\n",
    "    Return coordinate matrices from coordinate vectors.\n",
    "    从坐标向量返回坐标矩阵\n",
    "\"\"\"\n",
    "x_min, x_max = data['x'].min() - 1, data['x'].max() + 1\n",
    "y_min, y_max = data['y'].min() - 1, data['y'].max() + 1\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, .01), np.arange(y_min, y_max, .01))    # meshgrid绘制网格点坐标\n",
    "result = model.predict(np.c_[xx.ravel(), yy.ravel()])    # ravel将多维数组转换成一维数组；np.c_按列连接两个矩阵\n",
    "\n",
    "result = result.reshape(xx.shape)\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.contourf(xx, yy, result, cmap=plt.cm.Greens)    # 绘制等高线\n",
    "plt.scatter(data['x'], data['y'], c=model.labels_, s=15)\n",
    "\n",
    "center = model.cluster_centers_\n",
    "\n",
    "plt.scatter(center[:, 0], center[:, 1], marker='p', linewidths=2, color='b', edgecolors='w', zorder=20)    # marker='p'五边形\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-5.  -4.9 -4.8 ...  4.7  4.8  4.9]\n",
      " [-5.  -4.9 -4.8 ...  4.7  4.8  4.9]\n",
      " [-5.  -4.9 -4.8 ...  4.7  4.8  4.9]\n",
      " ...\n",
      " [-5.  -4.9 -4.8 ...  4.7  4.8  4.9]\n",
      " [-5.  -4.9 -4.8 ...  4.7  4.8  4.9]\n",
      " [-5.  -4.9 -4.8 ...  4.7  4.8  4.9]]\n",
      "[[-5.  -5.  -5.  ... -5.  -5.  -5. ]\n",
      " [-4.8 -4.8 -4.8 ... -4.8 -4.8 -4.8]\n",
      " [-4.6 -4.6 -4.6 ... -4.6 -4.6 -4.6]\n",
      " ...\n",
      " [ 4.4  4.4  4.4 ...  4.4  4.4  4.4]\n",
      " [ 4.6  4.6  4.6 ...  4.6  4.6  4.6]\n",
      " [ 4.8  4.8  4.8 ...  4.8  4.8  4.8]]\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "x = np.arange(-5, 5, 0.1)\n",
    "y = np.arange(-5, 5, 0.2)\n",
    "\"\"\"\n",
    "sparse : bool, optional\n",
    "        If True a sparse grid is returned in order to conserve memory.\n",
    "        Default is False.\n",
    "        如果为 True，则返回稀疏网格以节省内存。默认值为假。\n",
    "\"\"\"\n",
    "xx, yy = np.meshgrid(x, y)\n",
    "print(xx)\n",
    "print(yy)\n",
    "z = np.sin(xx**2 + yy**2)\n",
    "# z = np.tan(x) / y\n",
    "h = plt.contourf(x,y,z)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "outputs": [],
   "source": [
    "# 其他聚类算法\n",
    "\n",
    "from sklearn import cluster\n",
    "from matplotlib import pyplot as plt\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import time"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "outputs": [],
   "source": [
    "data = pd.read_csv(\"./data/three_class_data.csv\", header=0)\n",
    "x = data[[\"x\", \"y\"]]"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "outputs": [],
   "source": [
    "cluster_names = ['KMeans', 'MiniBatchKMeans', 'AffinityPropagation', 'MeanShift', 'SpectralClustering', 'AgglomerativeClustering', 'Birch', 'DBSCAN']\n"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "outputs": [],
   "source": [
    "cluster_estimators = [\n",
    "    cluster.KMeans(n_clusters=3),\n",
    "    cluster.MiniBatchKMeans(n_clusters=3),\n",
    "    cluster.AffinityPropagation(),\n",
    "    cluster.MeanShift(),\n",
    "    cluster.SpectralClustering(n_clusters=3),\n",
    "    cluster.AgglomerativeClustering(n_clusters=3),\n",
    "    cluster.Birch(n_clusters=3),\n",
    "    cluster.DBSCAN()\n",
    "]"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:888: UserWarning: MiniBatchKMeans is known to have a memory leak on Windows with MKL, when there are less chunks than available threads. You can prevent it by setting batch_size >= 2048 or by setting the environment variable OMP_NUM_THREADS=1\n",
      "  f\"MiniBatchKMeans is known to have a memory leak on \"\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\sklearn\\cluster\\_affinity_propagation.py:154: FutureWarning: 'random_state' has been introduced in 0.23. It will be set to None starting from 1.0 (renaming of 0.25) which means that results will differ at every function call. Set 'random_state' to None to silence this warning, or to 0 to keep the behavior of versions <0.23.\n",
      "  FutureWarning\n",
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\sklearn\\cluster\\_birch.py:650: ConvergenceWarning: Number of subclusters found (1) by BIRCH is less than (3). Decrease the threshold.\n",
      "  % (len(centroids), self.n_clusters), ConvergenceWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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qiE57YmZC+yjZfwh1TaNZfdUt1NYqgwcLtbUmBy8rM++MjhgBVVVQVqZkZAjTl+exv1cdzYEA1aXlNAcCcf2el2hcvnLuavsJI0t4FNhVs58v9pS0+cGLwkIz+AzOrHyxq4QdxUVUbStmX3EpzUHbjyPW5VuwOXqcOCyjlq37snh322YmDsluNZMydqx5SjHI9uoCRJpbtTNh6vi4f3uXzeOto8eN9LQmBqXX8Frh1xRVGUWrKpWVUF8PFRVmGaCsdi+76je229aEqeMTEqOfHd6TQheRaSJSICKFInJPsuMJcnRWOQPTd3DJ88/y1Y5diAi33w45OXDHHeZZ9II9JSwqWEhNoIbckcOTEmdQ8H4SveeELiKpwFPA+cA4YJaIjEtuVAYRGJJZQ+6oUv6S/y3Q+oMV3x0oOFj/xKGj220rUa4eil8E78Uc/RSgUFW3AIjIS8B0YFNSo3Jx6phs0mQ9u2ty6ZvWDzDz5zWBar6paj9lsSQOLwo9B9jpWi4GTk1SLK0IunS91vDC5ufC1p81aTJL1q5usywRA1O/4rnUBWjrS09avRng/rGu+u+75iNpHaUisdJVKUxPx4tCLwZGupZHACWhldw/1pV+aEaXBRcLyRqU+gkvCv0z4EgROVxEegNXAW8mOaZOuXm4ba2rdx7PCV1VA8CtwAogH1iqqkkd4cUjZQnn6lbsncOLg1FUdTmwPNlxxJMTh44mf+euZIfRY/Gco3c3EjEAbQ/r6rFjhd4J4i3yWZMmx7U9SwtW6DHSlU7uxrp6bFihdzMicXUr9uixQo+BZLm5JXas0KOkK0RuXT3+WKFbfIEVehR0ZcpiXT2+WKFHSHfNy63YI8MKvRtj59XjhxV6BHRXNw9iXT08VuhhSLbII3V1K/aOsUK3+AIr9A5ItpsHsa7eeazQ26G7iDxa/PwlRR1hhd4G3VHkkbr6mNHDEhyJN7FC9xCRfrbUpjCtsUIPoTu6eZDuHFt3xwrdhReEZF09NqzQPUY0F6MVewtW6A5ecPMg9ntgoscKHW+JHKyrx4IVusUX+F7oXnPzINE82Whd3edC96rIY8HvYve10L2OfV49cnwr9J7i5jaFiQxfCr2niDwW/Cp2X/ygroiUAdsT0PQgoDwB7Sajv9Gq2mMfffSF0BOFiKztyl9b7ur+ehK+TF0s/sMK3eILrNA7x7M9vL8eg83RLb7AOrrFF1ihx4CITBORAhEpFJF7uqC/50Rkj4hsSHRfPRUr9CgRkVTgKeB8YBwwS0TGJbjbRcC0BPfRo7FCj55TgEJV3aKqDcBLwPREdqiqq4CKRPbR07FCj54cYKdrudhZZ+nGWKFHj7Sxzk5ddXOs0KOnGBjpWh4BlCQpFkuEWKFHz2fAkSJyuIj0Bq4C3kxyTJYwWKFHiaoGgFuBFUA+sFRVNyayTxFZAnwCHC0ixSJyQyL764nYd0YtvsA6usUXWKFbfIEVusUXWKFbfIEVusUXWKFbfIEVusUXWKFbfMH/A+fBykPRElrIAAAAAElFTkSuQmCC\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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X7/Pzx7P/h/UrNuHOcJGTn0XP/vkxzWPqLefQ9DJ56SrfCgHwvIfWzOqi/LqflBLu5+98xdovNlBXXU99tYe6mnpKt5fH7Px9hxZx+YyLmvYlbyaQEbPzR6Ye/Kmzujil2rhej6+ZmxJfQ8fnLYgh9C4upHRHOYYhIHDNw5c1HQ9U/w1qnqbrLnEGknZiF+XV/cS1xhWRSSLynYisFZFbQhyfLiJ7RORL63Nl0LGficga6/OzWNgz9oeHktszp5VvhY5wyNHDqSqtJjs/i7OumcRfPr6Ho388DoBAzYtQ/VfQSqCq03lFxgBjMOT8BkmfFOe8DhziJtwgb42nA6OAaSIyKkTU2dZbvo9Q1aestAWYbwI/GtN53p9EpNON0YzsDB77/D5OuGACjk4snHSnu1j35UZqK+so21nOvMcX0ndob1SVQMVtUHU30FXeGgOQeS5G1iVdlN+BwYHkrTGY04CFqlqqqmXAQiAm1Ul2jyxOueg4XO6Oz7LyNvhoqNvfg1eUXZv2gm8l1L9J64cMQmhXajGi5mnU8wHa8HnKLPOJp3BDeWsM9VzyfBH5SkTmikijr7Fo03aIoyYdwdiJY5AOaskwDJxB8xJEhKJBhRCowPRh3RInMfHxFA6tRMuvQ8suN79TQLzxFG403hrfAAar6mHAO8Cz7UhrRhS5SkSWi8jyPXuic/ZhGAZ3vHozt//zZnIKsnGlORERHE4HIoLhNJq1gx0uBwV980nPSiMjO53C/gWccvHxZPXIpN+wPsx8+w9kZGeAayxIBq3F2wXjq1oDWgue91HPYpo7vkw+4jZXQUQmALer6mnW/q0AqnpvmPgOoFRV80RkGnCSqv7COvY4sERVIzp+jmauQkt8Xh+lO8vp0TsPd5qLmspalrz8EY/d+Cz1NWY71ZXm4vIZ0+gzpDd+r5/xk8eaQg2B+nejNU+YQqp7k65r6wbjAkcRUvAi4ujTFGrPVYiOJm+NwDZMb40XBUcQkb6qusPaPQvTOR6YjvLuCeqQnQrcGg8jnS4nvQfu92mblZvJQeOGNrvdGg6DQ8YP59DjRkY8lwaqoWEZ4i5BJR8CleB5n/iK1wDSMJ/QNdrsBf8OtPJ2JP+xOObdfcRNuKrqE5FGb40O4JlGb43AclV9HbjO8tzoA0qB6VbaUhG5i/3z/+5U1dJWmcSJg8cN49pHr+Sp374Aqvz0jilRiLYC3XuW1c5tAPxWsyEAUggar9W5ATAKIe1UqHuG/eL1g79zjqoPZFJuWmO80JpZaNWfCV275hD38dy0KeBfBb7vMNvUGZD9S4zsXzRFsZsKNiEIEH7kIN4PIQDPK9DrE6h+wJzmmD4Rybys7XQJSsoId1N5OTe8PY8tFRUcXzyIeyeeSrozhitm08+A6r+ZnTJ8QNf36sX7KZI3o8vz7Q5SQriqyiWvzmFHdRUBVf69bg3ZaWncdfJEtlVW8sXO7QzIzeOIPn07nIc4eqKF86D+LcAJNf8Lgd2xK0SbuCDQBTX7AUJKCLfW62WnJVoAj9/Psm1b+XzHdi59dS6g+FW5cuw4bjrm+KZ026oquX3JIrZXVXHeyNFcfsSR+6cstiBQOxsqZwA+yLzY6ph1FWLml3ZCF+bZvaSEcDNdLvIzMthbay5JdxsOxvQuYuZH71Pn2/9w4K/Ll1Gc14MJA4rpk53NhXNeYndNDQFV/t9/PiTN4eCSw1q/7FK9ayzRWpPGa1+BjAugLs7zY2UIpB8P+CHzMsTRO775HUCkxHxcEWHWuRcyKK8HaQ4HY/v2ZcroQ6luaL3S97Z3F3LaC3/n5ZVfUVnvaaql63w+FqwL81IS/waQ4DqgHow8SD8TcBG3y6xbwLMY6l6G0imot9Pvd0kYUqLG9QUCFKRnsPDSy3hx5Qru/fA9fvrPuTRo68WLflX8Ph8PLv24SbRg1tJD88NMUHONtpzVNZIGRg5k3IRknAP+baj3a6h7JdYlg4A1pUNL0bJfIr2XxDiPA5OkF+63e3ZzyatzqfU2kOlyUeXx4Iti7LrB7+fB0ybzq7fewK+KopT0M+f51DQ0UFZfR5/sHJyGYfo0yH8cf+WdeLxluKQCR/UjSNWDaN59SMYU8HfB85PArvjncYCQ9MK99q03Kas3vSB6/NENUWU4nVx82OGIgNvhoM7nwxsIcMPb83n9u9V8uHkTItAzM5M5F0yjKDubWjmSM+efz6M/eIoReT7QavNkFbegtc+B97N4FdHCZU7ySRGSvo27q6a63WmO6NOXa446mgXr1lLn2z+3NqDKOxvWUe/3UefzsaOqijvfN9+bvWDdWnbX1JDlbPnkrM70OBMrnwohEUifhOT/NY55HFgkvXD75+a2O82umhpO+PtTvPF95Lep+1V5a+0apv5jNgvXr0VRXlg7mlqfeSPzqRuco4iJ95qwCLgnYPR4ADHaX9ZEJambCks2rGftvn2twl2GQYbLRUF6BpWeekrr9/s+cBsG1R4PlZ7oZ3Qt27a1afvJ7w5ne202xxRtpV/+0Rw/fCqUng9x83mgEPCgqmHHmJORpBbu3R8uCXmD9gW0mTgdIhRmZFDv93Py4KEsDRJiI04R3A4H9T5fGzd9Yd6W4czbMhyXYfDZsGIyM6+BmvtjUaTQ+L4B/ybTqV6KkLRNBa/fz4ayslbhZp2kzcTnV2VXbS21Xi+fbNvC+H6tVwn9/MijGNevPw4j+ksmItQ2VEDNX9ptf+Q1ai2PKYi7A3kkLklb4zoNgyyXm2pv84cMkQbCvIEAO6ur+VeItu2/137PlqpKfIHoO1ljehdRmO6FcP1DY1ALB3bBSARrHSCZmBN5ApB+JuLoF7VdyUDS1rgiwiOnn0GG00mmy4W7HTVlKDZUlLdLtG7DYNa5F5hLZ4wwogo77poOzggvEkw/F+m1AMmbieQ/jeTeFbVdyULSChfgxMFDWHrlf/HsORdghOi4pDlCrciNDf1zc0l3uhAxkMKXwXlkiFgtHeIJOEYiBU8hPR4Dx2ArPN30yOg4BLJ/g+TdjRgFSPppiLskpTpljSRtU6GRbLebed+vbvXwIdKNuC0ynM5m47uhGJjbI2jPHYVfLzcUPIvhHrffxl4LUPVjriO1CSapa9xGyj31rUSqmI91O0Kdz4fDquUEyHG37hj9YMCA/TveL0EjCT0NXKPAeQjasAz1ftt0xBZtaJK+xgWYOvow5n3/Hd52tFHbwm/Nd1AIWfvuqd3/Vh9tWoUbjAE4Ie0Uc1Vw+o9g72RUK0H9aMa5GHl3xMzeZCPpa9yF69by4soVnDXiEHJc8Rkyatlpy3A6ObyoT1CEtbS61BlTkZ6vYOT/BTIvhIrfm501rQHqoe5V1LcuLvYmA0ld477+3bfcsmgB9T4faQ4H7jh2xsCckJPudHLpYUdw5sGHNIWLVjRvqkgWkjYBcY1CtcF875lvDc3mM4gDAu2fZ5EqdLeb0f8WkVWW77BFIjIo6Jg/yP3o6x3J/4WVK6i3buMev586S8Dxwuv389iPz+bGCcc17+mnTwx6QGAALnCPN3cbloFvM60m4RhF4IrsyyGV6W43o18AJZbvsLnAn4OO1QW5Hz2rIzbkutOaP2NSmDh0WEdOFRUKzF/zXatwcQ5HCl6CjPMhYxpS+BpiNE5KN2jtW0wg909Iij0Naw/d6mZUVReramMv5hNgADHC4/Pxzd7dzW7RAZR5a76PVRYhmbPqaz7esrlVuLhGYeTdi5H3p+ZPudxHgdFyZUU6YmTF1c5E50BwM9rIFcBbQfvplhfGT0TknPZm/s2e3VR7mj/uDXSB1x6P38/LX38VdXwRF+TPwnxXhMv8dh0GzkPjZWJSEM/OWXtchV4ClADBLzEoVtXtIjIUeFdEVqpqq262iFwFXAVQXFzcFJ6XloYvxJqyrmDRhnXUer1kuqJzOGK4hqK9FoLnPXOtWtpERJJ+wKdTxPPqbAUGBu0PALa3jCQiE4HbgLNUtWkSrKput77XA0uAkOtSVPUJVS1R1ZJevXo1hQ8r6MlFhx5OutOJs8UjUQNwxNFDuCHCurL2rTETR28k80IkfRIiST3YExPiKdwmN6Ni9jKmAs1GB0RkLPA4pmh3B4Xni0iatV0IHAu0e+317084iZfOmxLyqZm/nQ982zNJx+v3U5Rlt1HjSdyEq6o+oNHN6LfAK41uRi3XogD3AdnAnBbDXiOB5SKyAlgMzFTVDjkN6JuT0645tMEE18ntmRnmDQR46vPlKeHSvruI6z1JVecD81uE/TFoe2KYdB8DYzqb/7JtW3lv4waG9Mhnc0V506PZaOXUfEQiehR4/qsVHFbUhzOCHkTYxI6kbUwtXLeW69+eR73PR7rDQd/sHDZWlIcUbWdmioWj3u9j1Z49tnDjRNJ2XR///NOmp2b1fj+bKivCivPcQ0ax8JLpGDHssGU4nRzZt+PeH20ik7Q1bquhKNWwNeu5I0cxJL8gbNXbLzuHg3v2ZGtlJdUNDeypqW7l/bakbz/OHjGSxz5bhjcQ4MqxJUwcGmEVg02nSFrh3nrcifxkzst4/T48gQAK9M/JZWtVZbN4PTMyOHbgIHyBQMjOlMswuHHCcZw7chT/Wr2KXy94q1WcDKeTZ84+n2y3m4tDeHO0iT1J21QYWdiLJ886B5XGdb2wt7aGIXnmygTBnM318KQzAFi8YX3I2lgV3t+0gTNfmhVStAC5aWlkh5hMbhM/krbGBaj2NOB2OJpWOtT7/Uw66GAuOvRw1peXcnBBIUXZ2UDoyTEAPg2EXPUbTGFGZmwNt2mTpBbumKKiZvMT0p1Ojhs4iP65uc1cM6kqb34fWrht4UB44NTJnbbVpn0ktXB7Z2XzwnlTuOu9xdT6vFw97igmDCxuFU8xZ45FS2Mz4/yRo7nu6An0zsqOndE2UZHUwgU4vKgPc6dMC3vcHwgwZ9XXZLpc1HjD+/cyMB9CCHDy4KE8ceY5IZe823QNSds5i5ZbFi3gzvcXRxRtrjutadmPAp9s3RK2TWzTNSR9jRsJfyDAa6tXNa3YDUet14vTsf8/7g342VVTE2/zbCKQ0jWuIYKrxRq0oT3yGde3X7NmgE8DzSbZOA2D44sHYdN9pHSNKyLcffJEfr/4HVyGgV+V+089nSyXm3NmP980KccQ4bRhw6nz+vBpgGuOOpqDexa2cXabeJLSwgU4b+RoSvr1Z1NFOYcU9qJXZhaqyg+HDOPdjesRTL+4tx53Iv1yUsfj94FOygsXoDivB8V5+319iQgPT/oxn2zdQoXHww8GDKBHele+KdKmLWzhhkFEQo752hwYpHTnzCZxsYVrk5DYwrVJSCSZFvSJyB4g3EsVAAqBvV1gyoGazyBV7dV2tAOfpBJuW4jIclUtsfNJfOymgk1CYgvXJiFJNeE+YeeTHKRUG9cmeUi1GtcmSUga4XaF2/4o8pguInuCznVl0LGficga6/OzTpblwaA8vheR8vaWJeFR1YT/AA5gHTAUcAMrgFEt4pwMZFrb/wXMDjpWHaM8pgP/GyJtAbDe+s63tvM7mk+L+NcCz7SnLMnwSZYatyvc9reZRwROAxaqaqmqlgELgUkxymca8FKUdiQNySLcrnDbH20e51vNkbki0ujYuj32RR3Xau4MAd5tZ1kSnmSZ1tgVbvujyeMN4CVV9YjI1cCzwCntsa+dcacCc1U12JVZVK8gSHSSpcbtCrf9beahqvuCzvskMC7atO0ti8VUWjQToixL4tPdjexYfDDvHOsxb5uNHZrRLeKMxez0HNQiPB9Is7YLgTWE6AxFmUffoO1zgU+s7QJgg5VXvrVd0NGyWPFGABuxxuLbU5Zk+HS7ATErCEwGvrfEeZsVdidm7QrwDrAL+NL6vG6FHwOstASyEriiE3ncC3xjnWsxcEhQ2suBtdbnss6Uxdq/HfMVA8Hpoi5Lon/sJ2c2CUmytHFtUgxbuDYJiS1cm4TEFq5NQmIL1yYhsYVrk5DYwrVJSGzh2iQk/x85SDUivFM2XQAAAABJRU5ErkJggg==\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plot_num = 1\n",
    "# 利用for循环依次运行不同的聚类方法建立不同的聚类模型，同时利用time方法计算每次聚类运算的开始时间，并绘制子图，子图分布2行4列\n",
    "for name, model in zip(cluster_names, cluster_estimators):\n",
    "    tic = time.time()\n",
    "    model.fit(x)    # 训练模型\n",
    "    plt.subplot(2, len(cluster_estimators) / 2, plot_num)    # 增加子图，并指定位置\n",
    "\n",
    "    # 计算聚类过程中的决策边界，并绘制出决策边界\n",
    "    x_min, x_max = data['x'].min() - 1, data['x'].max() + 1\n",
    "    y_min, y_max = data['y'].min() - 1, data['y'].max() + 1\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, .01), np.arange(y_min, y_max, .01))    # 绘制网点坐标矩阵\n",
    "    if hasattr(model, 'predict'):    # 判断model对象中，是否有predict方法\n",
    "        result = model.predict(np.c_[xx.ravel(), yy.ravel()])    # ravel将多维数组变成一维数组；np.c_按列连接两个矩阵\n",
    "        result = result.reshape(xx.shape)    # 将result变成与xx一样的shape\n",
    "        plt.contourf(xx, yy, result, cmap=plt.cm.Greens)    # 绘制等高\n",
    "    plt.scatter(data['x'], data['y'], c=model.labels_, s=15)    # 绘制散点图\n",
    "\n",
    "    # 判断方法中是否有 clustercenters\\ 聚类中心，有的话，标记出来\n",
    "    if hasattr(model, 'cluster_centers_'):\n",
    "\n",
    "        center = model.cluster_centers_\n",
    "        plt.scatter(center[:, 0], center[:, 1], marker='p', linewidths=2, color='b', edgecolors='w', zorder=20)\n",
    "\n",
    "    # 利用time方法获取当前时间，减去算法开始的时间得到聚类过程所耗时长\n",
    "    toc = time.time()\n",
    "    cluster_time = (toc - tic)*1000\n",
    "\n",
    "    # 设置子图的标题，每一个子图绘制完成后plot_num加1，保证下一个循环中，新的子图位于下个位置，回车两次，退出并执行for循环代码\n",
    "\n",
    "    plt.title(str(name) + \", \" + str(int(cluster_time)) + \"ms\")\n",
    "    plot_num += 1\n",
    "\n",
    "    plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 3 Axes>",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(2, 2, 1)\n",
    "plt.subplot(2, 2, 2)\n",
    "plt.subplot(2, 2, 3)\n",
    "plt.show()\n"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}